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The number of irrational roots of the eq...

The number of irrational roots of the equation `(4x)/(x^2+x+3)+(5x)/(x^2-5x+3)=-3/2` is

A

4

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
4
Here, x = 0 is not a root, Divide both the numerator and denominator by x and put x + 3/x = y to obtain
`(4)/(y + 1) + (5)/(y - 5) = - 3/2 rArr y = -5, 3`
x + 3/x = -5 has two irrational roots and x + 3/x = 3 ahs imaginary roots.
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